tion 11 of 12 > © Macmillan Learning If the positive y-direction is chosen to be upward, which of the three pairs of displacement versus time y(t) and velocity versus time v,(t) graphs represent motion that is not possible for an object in free-fall? Select all that apply. y (a) (b) V,\ (c) Vy b C a t t t t t
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- 6,7#1) Let's say an object (pick your favorite object) moves along the x - axis with the following velocity as a function of time given as, vx(t) = (a + 7B t4 - 5y t³+ 38 t²), where a, ß, y, and 8 are just constants. (A) Determine an expression for the acceleration of the object. No numbers allowed for this part, just find the expression. Show me everything you know. Show your work. (B) Determine an expression for the position of the object. No numbers allowed for this part, just find the expression. Show me everything you know. Show your work. (C) Now, given that a = 3.00 m/s, B = 15.0 m/s5, y = 12.0 m/s4, and 8= 9.00 m/s³ At t = 0.00 S, X = 500.0 m. What is the x - position of the object when t = 2.00 s? Report answer to 4 sig figs. Show your work and how the units cancel.Finding x(t) and v(t) by Integration 5. The acceleration of a jeepney is given by a, (t) = at – ßt? т where a = 1.50 m/.3 and ß = 0.120 m /s4 The motorcycle is at rest at the origin when time t = 0. a. Find its position and velocity as functions of time. b. Calculate the maximum velocity it attains.
- 92100717782189 ed by Synchrony Bank. Use of the credit ca constitutes acceptance of the credit card agreement, including ients. Also accepted at Online account management at SamsClubCredit.com Walmart 24 Hour Credit Card Service the origin? Assume the blocks are equal length. and 26 blocks south. What is its final displacement from 2. (I) A delivery truck travels 21 blocks north, 16 blocks of origin (magnitude anu Unctuvn, east,1つ7 3. An object undergoes motion in 2 dimensions under a constant acceleration of "-2.50 m/s at an angle of 50.0° with respect to the + x direction. It also has an initial velocity of vi = 7.00 m/s at an angle of 10,0° The object begins at the coordinates (0, 0). a) What are the coordinates of the object at t = 7.00 s? Want Cx, y) at t =?4 4tzテメ0チ=XT vse this Con Vxi = \V;l cos v +ハ Ay=lalsin Ga b) What is its total velocity vector of the object as a magnitude and direction at t = 7.00 s? a) Ov= Tonat this point Ymax Directions: Fill in the table below, write the magnitude and sign for the velocity and acceleration of the ball in each position in the figure above: Time (second) Vx (m/s) Vy Ax AY (m/s) (m/s²) (m/s²) 2 20 1 2 3 4 5
- Finding x(t) and v(t) by Integration 5. The acceleration of a jeepney is given by a, (t) = at – - Bt2 a = 1.50 m/3 and ß = 0.120m/e4 %3D where The motorcycle is at rest at the origin when time t = 0. a. Find its position and velocity as functions of time. b. Calculate the maximum velocity it attains.EXE A bus makes a trip according to the position-time graph shown in the drawing. What is the average velocity (magnitude and direction) of the bus during (a) segment A. (b) segment B. and (c) segment C? Express your answers in km/h. 50.0 (A) Number (by Number Number Pater m | +40.0 +30.0 +200 +100 Units Units 05 10 15/ 2.05 26 Time (Hi, can you help me with this practice question please.
- The figure depicts the sum of two velocities, vA and vB. The magnitude of the sum is 5.5 m/s and the angles shown in the image are θ1 = 31.8°, and θ2 = 16.7°. Find the magnitude of velocity vA in meters per second.Ih took Joseph 30 minutes longer to drive 375 km from along the north shore of a river from Apex to Rounder than it took to return along the south shore, a distance of 420 km. On the retum trip the highway was wider and in better condiftion, so he was able to average 10 km/h faster. What was his average speed on cach part of the trip?Question 21 Assume the position of a person traveling along a straight hiking trail is given by the graph depicted. The input to the function is time in hours, and the output is position in miles from the only outhouse on the trail. The trail travels east-west. | Below you will estimate when the displacement of the hiker is positive, negative or zero using the position function. If the time is an interval give the interval in the form (a, b); if there are multiple intervals then separate the intervals with a comma (a, b), (c, d); and, if the times are a series of single values give the values as a, b, c... List from the smallest to the largest values. For the time interval (0, 10), state the times when the displacement of the hiker is positive. State the times when the displacement of the hiker is negative. State the times when the displacement of the hiker is zero.